Geodesic
The L-class of non-Witt spaces
Markus Banagl1
1 Mathematisches Institut, Universität Heidelberg, 69120 Heidelberg, Germany
Annals of mathematics, Tome 163 (2006) no. 3, pp. 743-766.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Characteristic classes for oriented pseudomanifolds can be defined using appropriate self-dual complexes of sheaves. On non-Witt spaces, self-dual complexes compatible to intersection homology are determined by choices of Lagrangian structures at the strata of odd codimension. We prove that the associated signature and \rm L-classes are independent of the choice of Lagrangian structures, so that singular spaces with odd codimensional strata, such as e.g. certain compactifications of locally symmetric spaces, have well-defined \rm L-classes, provided Lagrangian structures exist. We illustrate the general results with the example of the reductive Borel-Serre compactification of a Hilbert modular surface.
DOI : 10.4007/annals.2006.163.743

Markus Banagl 1

1 Mathematisches Institut, Universität Heidelberg, 69120 Heidelberg, Germany 
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Markus Banagl. The L-class of non-Witt spaces. Annals of mathematics, Tome 163 (2006) no. 3, pp. 743-766. doi : 10.4007/annals.2006.163.743. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.163.743/

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